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Finding the Fourth Proportional to 3,200.51, 4,792.74 and 2,026.97

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Solution

The fourth proportional to 3,200.51, 4,792.74 and 2,026.97 is: 3,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.51 : 4,792.74 = 2,026.97 : x
  2. Step 2: Convert to fraction form
    3,200.51/4,792.74 = 2,026.97/x
  3. Step 3: Cross multiply
    3,200.51x = 4,792.74 × 2,026.97
  4. Step 4: Simplify right side
    3,200.51x = 9,714,740.20
  5. Step 5: Solve for x
    x = 9,714,740.20/3,200.51
  6. Step 6: Final answer
    x = 3,035.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.